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425716200 = 23325271323113
BaseRepresentation
bin11001010111111…
…110100111101000
31002200001121211200
4121113332213220
51332440404300
6110124324200
713356346050
oct3127764750
91080047750
10425716200
111a933a978
12ba6a3660
136a2767a0
144077a560
1527593200
hex195fe9e8

425716200 has 576 divisors, whose sum is σ = 1852381440. Its totient is φ = 85155840.

The previous prime is 425716199. The next prime is 425716229. The reversal of 425716200 is 2617524.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3767344 + ... + 3767456.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2425716200 is an apocalyptic number.

425716200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425716200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

425716200 is an abundant number, since it is smaller than the sum of its proper divisors (1426665240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425716200 is a wasteful number, since it uses less digits than its factorization.

425716200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 425716200 is about 20632.8912176651. The cubic root of 425716200 is about 752.2693928819.

The spelling of 425716200 in words is "four hundred twenty-five million, seven hundred sixteen thousand, two hundred".